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math.PR2012
S-inequality for certain product measures
Piotr Nayar, Tomasz Tkocz
In this paper we prove the S-inequality for certain product probability measures and ideals in R^n . As a result, for the Weibull and Gamma product distributions we derive concentr…
math.PR2012
The unconditional case of the complex S-inequality
Piotr Nayar, Tomasz Tkocz
In this note we prove the complex counterpart of the S-inequality for complete Reinhardt sets. In particular, this result implies that the complex S-inequality holds for unconditio…
math.PR2012★ 1 cited
A Note on a Brunn-Minkowski Inequality for the Gaussian Measure
Piotr Nayar, Tomasz Tkocz
We give the counter-examples related to a Gaussian Brunn-Minkowski inequality and the (B) conjecture.